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Finding the Fourth Proportional to 6,099.16, 9,142.32 and 3,463.36

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Solution

The fourth proportional to 6,099.16, 9,142.32 and 3,463.36 is: 5,191.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,099.16 : 9,142.32 = 3,463.36 : x
  2. Step 2: Convert to fraction form
    6,099.16/9,142.32 = 3,463.36/x
  3. Step 3: Cross multiply
    6,099.16x = 9,142.32 × 3,463.36
  4. Step 4: Simplify right side
    6,099.16x = 31,663,145.40
  5. Step 5: Solve for x
    x = 31,663,145.40/6,099.16
  6. Step 6: Final answer
    x = 5,191.39

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.